Why 0.5 Is Written to the Tenths Place
One digit follows the decimal point, so that digit counts tenths. In 0.5, the final digit 5 represents 5/10.
Decimal in the tenths place
0.5 is a positive terminating decimal less than 1. It has 1 decimal place, and its final digit is in the tenths place.
0.5 in words is zero point five.
The digit 5 is one place to the right of the decimal point, so it represents five tenths.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 5 | tenth | 5/10 |
0.5 is a positive terminating decimal less than 1. It is written to the tenths place.
0.5 = 5 × 0.1
0.5 = 5/10
0.5 = 0 + 5/10
The final nonzero digit is in the tenths place, so its value is expressed with a denominator of 10.
0.5 = 5/10
The greatest common divisor of 5 and 10 is 5.
5 ÷ 5 = 1
10 ÷ 5 = 2
Therefore, 5/10 = 1/2.
To convert 0.5 to a percentage, multiply it by 100.
0.5 × 100 = 50
Therefore, 0.5 = 50%.
0.5 = 0.50 = 0.500
Adding zeros to the right of a decimal does not change its numerical value. It does change the number of written decimal places and may communicate different precision.
| Decimal | Final place | Exact fraction | Simplified value |
|---|---|---|---|
| 0.5 | tenths | 5/10 | 1/2 |
| 0.50 | hundredths | 50/100 | 1/2 |
| 0.500 | thousandths | 500/1000 | 1/2 |
One digit follows the decimal point, so that digit counts tenths. In 0.5, the final digit 5 represents 5/10.
The reduced form 1/2 is a commonly used fraction. The decimal form is convenient for calculation, while the fraction shows the exact part-to-whole relationship.
Five tenths are filled, leaving five tenths unfilled.
The unfilled part is 5/10 = 1/2 = 50%.
The filled part is 5/10 = 1/2 = 50%.
0.5 lies between 0.4 and 0.6. It is 0.5 below 1 and 0.5 above 0.
On a number line from 0 to 1, it appears 50% of the way from 0 to 1.
1 − 0.5 = 0.5
1 − 1/2 = 1/2
0.5 is five tenths below 1. The remaining part is 5/10 = 1/2 = 50%.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.05 | zero point zero five | five hundredths | 1/20 | 5% | ten times smaller than 0.5 |
| 0.5 | zero point five | five tenths | 1/2 | 50% | current value |
| 0.50 | zero point five zero | fifty hundredths | 1/2 | 50% | same numerical value, written to the hundredths place |
| 5.0 | five point zero | five | 5 | 500% | ten times larger than 0.5 |
Zero point five.
Five tenths.
1/2.
50%.
0.5 is ten times as large.
Yes. The added trailing zero changes written precision, not numerical value.
0.5 in words is zero point five.
Because the digit 5 is in the tenths place. Therefore, 0.5 represents five tenths.
0.5 is 5/10 exactly and 1/2 in lowest terms.
Yes. Divide its numerator and denominator by 5 to get 1/2.
0.5 is equal to 50%.
Yes. 0.5 and 0.50 have the same numerical value. However, 0.5 is written to the tenths place, while 0.50 is written to the hundredths place and may communicate greater recorded precision.
Yes. 0.5 is ten times as large as 0.05.
0.5 is a positive terminating decimal less than 1. It is written to 1 decimal place and represents five tenths.